Abstract
An integral representation and embedding theorems for functions in multianisotropic Sobolev spaces are proved. Unlike in previous works, the general case where the characteristic Newton polyhedron in ℝn has an arbitrary number of vertices is considered.
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Dedicated to the blessed memory of Professor N. K. Karapetyants
Original Russian Text © G. A. Karapetyan, M. K. Arakelyan, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 3, pp. 422–438.
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Karapetyan, G.A., Arakelyan, M.K. Embedding Theorems for General Multianisotropic Spaces. Math Notes 104, 417–430 (2018). https://doi.org/10.1134/S0001434618090092
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DOI: https://doi.org/10.1134/S0001434618090092